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Finding the Fourth Proportional to 3,791.39, 5,688.17 and 1,844.69

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Solution

The fourth proportional to 3,791.39, 5,688.17 and 1,844.69 is: 2,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.39 : 5,688.17 = 1,844.69 : x
  2. Step 2: Convert to fraction form
    3,791.39/5,688.17 = 1,844.69/x
  3. Step 3: Cross multiply
    3,791.39x = 5,688.17 × 1,844.69
  4. Step 4: Simplify right side
    3,791.39x = 10,492,872.65
  5. Step 5: Solve for x
    x = 10,492,872.65/3,791.39
  6. Step 6: Final answer
    x = 2,767.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.